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Finding the Fourth Proportional to 16,076.72, 24,094.56 and 13,988

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Solution

The fourth proportional to 16,076.72, 24,094.56 and 13,988 is: 20,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.72 : 24,094.56 = 13,988 : x
  2. Step 2: Convert to fraction form
    16,076.72/24,094.56 = 13,988/x
  3. Step 3: Cross multiply
    16,076.72x = 24,094.56 × 13,988
  4. Step 4: Simplify right side
    16,076.72x = 337,034,705.28
  5. Step 5: Solve for x
    x = 337,034,705.28/16,076.72
  6. Step 6: Final answer
    x = 20,964.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.